Abstract
This work aims to present results of the measurements of the density of the anhydrous ethanol fuel in the liquid phase, and the following thermal properties: thermal expansion coefficient and isothermal compressibility factor, in the temperature range of 277.15 K to 313.15 K and for pressures up to 15.0 MPa are presented. The density measurements were performed using a pycnometer that was calibrated, which presents a volume uncertainty of 0.020 cm3. Correlations were obtained for density, thermal expansion coefficient, and the isothermal compressibility factor. A system of measurement was developed capable of realizing density measurements using a pycnometer and a pressure cell with low uncertainties in different pressures and temperatures.
Similar content being viewed by others
Abbreviations
- ANP:
-
National Agency of Petroleum, Natural Gas and Biofuel
- Dimqt:
-
Division of Chemical and Thermal Metrology of INMETRO
- INMETRO:
-
National Institute of Metrology, Standardization and Industrial Quality
- Laflu:
-
Fluid Laboratory of INMETRO
- k :
-
Coverage factor
- \({k}_{L}\) :
-
Isothermal compressibility factor [MPa−1]
- En:
-
Normalized error
- \({\mathrm{M}}_{\mathrm{PL}}\) :
-
Mass of the filled pycnometer [g]
- \({\mathrm{M}}_{\mathrm{PV}}\) :
-
Mass of empty pycnometer [g]
- \({n}_{0}, {n}_{1}, {n}_{2}, {n}_{3}, {n}_{4}\) :
-
Constants
- \({\text{P}}_{\text{L}}\) :
-
Pressure of the liquid [MPa]
- Pr :
-
Reference pressure of the liquid equal to 0.1 MPa
- \({\text{T}}_{\text{L}}\) :
-
Temperature of the liquid [K]
- Tr :
-
Reference temperature of the liquid equal to 293.15 K
- \({\text{V}}_{0}\) :
-
Pycnometer volume [cm3]
- \({\alpha }_{L}\) :
-
Thermal expansion coefficient [K−1]
- \({\alpha}_{\text{P}}\) :
-
Thermal expansion coefficient of the pycnometer [K−1]
- \({\beta}_{\text{P}}\) :
-
Isothermal compressibility coefficient of the pycnometer [MPa−1]
- \({\gamma }_{eff}\) :
-
Effective degree of freedom
- ρ:
-
Density [g·cm−3]
- \({\uprho }_{\mathrm{a}}\) :
-
Density of the air during the measurement [g·cm−3]
- \({\uprho }_{\mathrm{b}}\) :
-
Density of the standard weights [g·cm−3]
References
ANP Resolution nº 764, of 20.12.2018—DOU 21.12.2018, in Portuguese. http://legislacao.anp.gov.br/?path=legislacao-anp/resol-anp/2018/dezembro&item=ranp-764-2018. Accessed 18 Oct 2020
W. Wagner, A. Pruß, J. Phys. Chem. Ref. Data 31, 387 (2002)
S. Lorefice, R. Romeo, M. Santiano, A. Capelli, Metrologia 51, 154 (2014)
J.J.P. Santos Junior, R.G. Pereira, M. Rosendahl et al., The use of ethanol to determine the volume of a pycnometer used to measure the density of liquids at different temperatures and pressures. J. Braz. Soc. Mech. Sci. Eng. 42, 50 (2020). https://doi.org/10.1007/s40430-019-2107-y
JCGM 100:2008 GUM 1995 with minor corrections-evaluation of measurement data-guide to the expression of uncertainty in measurement, 1st edn. (2008), p. 120
EA-4/02: expression of the measurement uncertainty in calibration. 1 st. Brazilian Edition, Rio de Janeiro, INMETRO, ABNT, SBM, 1st. edn. (1999), p. 34 [in Portuguese]
OIML R111–1 weights of classes E1, E2, F1, F2, M1, M1–2, M2, M2–3 and M3, metrological and technical requirements, international organization of legal metrology, (2004), p. 78
J. J. P. Santos Junior, Development of a system for determining the density of liquids as a function of pressure and temperature variation simultaneously, Ph.D. thesis, Fluminense Federal University, Rio de Janeiro, Brazil, 2020 [in Portuguese]
M.G. Cox, Metrologia 44, 187 (2007)
J.A. Schroeder, S.G. Penoncello, J.S. Schroeder, J. Phys. Chem. Ref. Data 43, 043102 (2014)
Y. Takiguchi, M. Uematsu, J. Chem. Thermodyn. 28, 7 (1996)
F.A.M.M. Goncalves, A.R. Trindade, C.S.M.F. Costa, J.C.S. Bernardo, I. Johnson, I.M.A. Fonseca, A.G.M. Ferreira, J. Chem. Thermodyn. 42, 1039 (2010)
H. Bettin, F. Spieweck, A revised formula for the calculation of alcoholometric tables. PTB-Mitt 100, 457–460 (1990)
ABNT NBR 5992:2008. Alcoholometric tables, 2nd edn. (2008), p. 5 [in Portuguese]
Acknowledgement
The author R.G. Pereira is grateful to the National Research Council of Brazil, CNPq. Authors J.J.P. Santos Junior and M. Rosendahl are grateful to PRONAMETRO and UNESA for the financial support.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
dos Santos Junior, J.J.P., Pereira, R.G., Rosendahl, M. et al. Measurements and Correlations of Density, Isothermal Compressibility Factor, and Thermal Expansion Coefficient of Anhydrous Ethanol Fuel as a Function of Temperature and Pressure. Int J Thermophys 42, 78 (2021). https://doi.org/10.1007/s10765-021-02825-w
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10765-021-02825-w